Hi Jane. We used Rutherford's Of London removal Services recently for a very similar move to the one you described. They provided us with a full packing service and packed our two bedroom flat in about five hours. They were really impressive. Nothing got brocken, they were very careful not to scratch walls etc and they were very calm, friendly and professional. It was the most stress free removal I have experienced. Also, they were cheaper than a lot of the other movers I found in Fulham area.